Help please fan and medals
3. A ball is dropped vertically from a height of 80 meters. After each bounce, the ball reaches a maximum height equal to 60 percent of maximum height of the previous bounce. Note that you are not finding a sum here, just the height of the bounces.

a. Write the first three terms of the sequence. Explain how you know what they are.

b. Find the height to the nearest tenth of a meter of the ball after the eighth bounce. Show and explain your work.

Question

Help please fan and medals
3.	A ball is dropped vertically from a height of 80 meters. After each bounce, the ball reaches a maximum height equal to 60 percent of maximum height of the previous bounce.  Note that you are not finding a sum here, just the height of the bounces.

a.	Write the first three terms of the sequence. Explain how you know what they are.

b.	 Find the height to the nearest tenth of a meter of the ball after the eighth bounce. Show and explain your work.

welshfella · Answer

first bounce will be 60% of 80 feet
second bounce will be 60% of height of second bounce  , and so on...

russianboss1 · Answer

ok so I just keep on going to the eigth like that?

welshfella · Answer

yes  
first term will be 48 , second will be 48*0.60  etc

welshfella · Answer

a quick way to find the 8th bounce woud be  4* (0.6)^7

russianboss1 · Answer

so the eighth bounce is 0.1119744 ?

welshfella · Answer

no 
try the formula

welshfella · Answer

oh sorry - thaT FORMULA IS WRONG  i made a typo
its 48* (0.6)^7

welshfella · Answer

you should get 1.34 m 

(1.3 to nearest tenth of a meter)